Question

A big ship moves at 32 m/s North relative to the water. Inside the ship a kid runs at 1.5 m/s at an angle 30degree north of east. What is the velocity of the kid relative to the water.

(Choose the nearest answer)



33 m/s, 88degree above x-axis



78 m/s, 18degree above x-axis



150 m/s, 8degree above x-axis

Answer 1

north v = 32 + 1.5 sin 30 = 32.75
east v = 1.5 cos 30 = 1.3
|v| = sqrt (1.69 + 1073) =sqrt (1074) = 32.8
very little east of north so first answer